2661258240 has 616 divisors, whose sum is σ = 10309805568. Its totient is φ = 656916480.

The previous prime is 2661258221. The next prime is 2661258241. The reversal of 2661258240 is 428521662.

It is a happy number.

2661258240 is a `hidden beast` number, since 2 + 66 + 12 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2661258195 and 2661258204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661258241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 85847025 + ... + 85847055.

Almost surely, 2^2661258240 is an apocalyptic number.

2661258240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154902784).

2661258240 is an abundant number, since it is smaller than the sum of its proper divisors (7648547328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2661258240 is an equidigital number, since it uses as much as digits as its factorization.

2661258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2661258240 is about 51587.3845043534. The cubic root of 2661258240 is about 1385.7844157858.

The spelling of 2661258240 in words is "two billion, six hundred sixty-one million, two hundred fifty-eight thousand, two hundred forty".